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Finding the Fourth Proportional to 23,517, 35,280.89 and 10,192.23

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Solution

The fourth proportional to 23,517, 35,280.89 and 10,192.23 is: 15,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517 : 35,280.89 = 10,192.23 : x
  2. Step 2: Convert to fraction form
    23,517/35,280.89 = 10,192.23/x
  3. Step 3: Cross multiply
    23,517x = 35,280.89 × 10,192.23
  4. Step 4: Simplify right side
    23,517x = 359,590,945.48
  5. Step 5: Solve for x
    x = 359,590,945.48/23,517
  6. Step 6: Final answer
    x = 15,290.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.